Answer: 26 13/30 feet
Step-by-step explanation:
The hall is in the shape of a rectangle. The perimeter of a rectangle is:
= 2(length + width)
= 2l + 2w
Since perimeter = 71 2/3 ft and Width = 9 2/5 ft wide, the length will be calculated thus:
Perimeter = 2l + 2w
71⅔ = 2l + 2(9 2/5)
71 2/3 = 2l + (2 × 47/5)
71 2/3 = 2l + 94/5
71 2/3 = 2l + 18 4/5
Collect like terms
2l = 71 2/3 - 18 4/5
2l = 71 10/15 - 18 12/15
2l = 52 13/15
l = (52 13/15 ÷ 2)
l = 793/15 × 1/2
l = 793/30
l = 26 13/30
Therefore, the length is 26 13/30ft
Answer:
m∠2 is correct, m∠1 is 85°
Step-by-step explanation:
Since, you already gave the angle for ∠2 in which it is vertical to the one shown, m∠1 must be 85° since you are finding the left angle to make a straight line of 180°
Answer:3
b
−
2
c−
d
,
t
o
3
,
3
+
3d
−
3
b
Step-by-step explanation:
(
b
−
c
)
⋅
3
+
(
c
-d
) raise t
o 3
3
+
(
d
−
b
)
⋅
3
Write the problem as a mathematical expression.
(
b
−
c
)
⋅
3
+(
c
−
d
) raise t
o3
3+
(
d
−
b)
⋅
3
Remove parentheses.
(
b
−
c)
⋅
3
+
c
−
d
,
t
o
3
,
3
+
(
d
−
b
)
⋅
3
Simplify each term.
Apply the distributive property.
b
⋅
3
−
c
⋅
3
+
c−
d
Move 3 to the left of b
.
3
⋅
b
−
c
⋅
3
+
c
−
d
Multiply 3 by −
1 ⋅
3
b
−
3
c
+
c
−
d
Add −
3
c and c.
3
b
−
2
c
−
d
,
t
o
3
,
3
+
(
d
−
b
)
⋅
3
Simplify each term.
Apply the distributive property.
3
+
d ⋅
3
−
b ⋅
3
Move 3 to the left of d
.
3
+
3
⋅
d
−
b
⋅
3
Multiply 3 by −
1
.
3
+
3
d
−
3
b
7.5795 ounces.
Multiply the weight of the bar by the percentage of silver of the bar. Make sure to turn the percentage into decimal.
8.15-93/100-7.5795.
Round to two decimals if necessary, (which is 7.58).
Good luck.
